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leetcode. Unique Paths

时间:2014-12-13 16:26:37      阅读:128      评论:0      收藏:0      [点我收藏+]

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A robot is located at the top-left corner of a m x n grid (marked ‘Start‘ in the diagram below).

The robot can only move either down or right at any point in time. The robot is trying to reach the bottom-right corner of the grid (marked ‘Finish‘ in the diagram below).

How many possible unique paths are there?

只能left->right或top->bottom,因此

  arr[i][j] = arr[i - 1][j] + arr[i][j - 1]

即可。

 1 int uniquePaths(int m, int n) 
 2     {
 3         if (m <= 0 || n <= 0)
 4             return 0;
 5         
 6         int arr[101][101] = {0};
 7         
 8         for (int i = 1; i <= m; i++)
 9         {
10             for (int j = 1; j <= n; j++)
11             {
12                 if (i == 1 && j == 1)
13                     arr[i][j] = 1;
14                 else
15                     arr[i][j] = arr[i - 1][j] + arr[i][j - 1];
16             }
17         }
18         
19         return arr[m][n];
20     }

 

leetcode. Unique Paths

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原文地址:http://www.cnblogs.com/ym65536/p/4161473.html

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